Answer:
378.5 or just 378
Step-by-step explanation:
This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)
The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.
Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.
If we want y when x = 19, plug 19 in for x and solve for y:
y = 1.5(19) + 350
y = 378.5
Since we can't have .5 of a butterfly we will round down to 378
Answer:
Step-by-step explanation:
Formula for calculating the surface area of the box S = 2(LW+LH+WH) where
L is the length of the box
W is the width of the box
H is the height of the box
If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;
S = 2(4(4)+4H + 4H)
S = 2(16+8H)
S = 32+16H
<em>Hence, The function that represents the surface area of this box as a
</em>
<em>function of its height is S = 32+16H where H is the height of the box</em>
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Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;
S = 32+16H
S = 32+16(6.5)
S = 32+106
<em>S = 138in²</em>
<em>Hence the total surface area of the box is 138in²</em>
At around 20'000ft. and higher.
Answer:
As traffic volume increases, vehicle speed increases.
Step-by-step explanation:
If 1 serving = 1/4 pound, then 4 servings = 1 pound. 6 pounds *4=24 servings. That leaves 1/3 of a pound. 1/4 pound is less than 1/3 pound, so you get one more serving.
That makes 25 servings, and 1/12 of a pound left over.
How do you know it is 1/12? Well, LCD (lowest common denominator) shows that 1/3-1/4= 4/12-3/12=1/12.